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A note on signature‐based expressions for the entropy of mixed r ‐out‐of‐ n systems
Author(s) -
Toomaj Abdolsaeed,
Doostparast Mahdi
Publication year - 2014
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.21577
Subject(s) - entropy (arrow of time) , independent and identically distributed random variables , mathematics , statistical physics , joint quantum entropy , maximum entropy probability distribution , principle of maximum entropy , statistics , physics , random variable , thermodynamics
We provide an expression for the Shannon entropy of mixed r ‐out‐of‐ n systems when the lifetimes of the components are independent and identically distributed. The expression gives the system's entropy in terms of the system signature, the distribution and density functions of the lifetime model, and the information measures of the beta distribution. Bounds for the system's entropy are obtained by direct applications of the concavity of the entropy and the information inequality.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 202–206, 2014